IBP reduction via Gr\'obner bases in a rational double-shift algebra

Autor:	Barakat, Mohamed, Brüser, Robin, Huber, Tobias, Piclum, Jan
Rok vydání:	2022
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.22323/1.416.0043
Popis:	We report on an approach to integration-by-parts reduction based on Gr\"obner bases. We establish the underlying noncommutative rational double-shift algebra wherein the integration-by-parts relations form a left ideal. We describe in detail the one-loop massless box as an example where we achieved the full reduction to master integrals by means of the Gr\"obner basis approach, and report on the performance of the implementation. We also identify potential bottlenecks in more complicated examples and elaborate on interesting further directions. Comment: 11 pages, 2 figures, contribution to the proceedings of "Loops and Legs in Quantum Field Theory - LL2022, 25-30 April, 2022, Ettal, Germany''. v2: Minor revision, reference added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.09275 Zobrazit plný text záznamu View this record from Arxiv